25 citations · 88 across the 30 of their papers we have counts for
6 papers · 1 filter
Crossed-Heinz Inequalities: The Two-Dimensional Threshold and Higher-Dimensional Stability
Mohammad Sababheh, Jean-Christophe Bourin
For positive matrices and , Bourin asked whether the crossed-Heinz expression \[ C_t(A,B)=A^tB^{1-t}+B^tA^{1-t} \] satisfies \[ \UIN{C_t(A,B)}\le \UIN{A+B} \] for ever…
An Extremal Formula for Elliptical Width and the Bourin--Lee Conjecture
Mohammad Sababheh
Let \(X\in M_n(\mathbb C)\), \(n\geq2\), and let \[ δ_2(X) = \sup_{\dim S=2}δ(X_S), \] where \(X_S\) denotes the compression of \(X\) to \(S\), and \(δ(X_S)\) is the diameter of th…
Inner product bounds via the Moore-Penrose inverse with applications
A. Sheikhhosseini, Gh. Aghamollaei, M. Sababheh
In this paper, by implementing the generalized inverse, known as the Moore-Penrose inverse, for Hilbert space operators, several inner product bounds that are of Cauchy-Schwarz typ…
A new collection of tuple operator inequalities
Zameddin I. Ismailov, Pembe Ipek Al, Hamid Reza Moradi +1
In this paper, we present several new bounds for the norm and numerical radius of sums of Hilbert space operators. The obtained bounds form a new collection that enriches our under…
Integral Numerical Radius and Operator Matrix Bounds
Shiva Sheybani, Hamid Reza Moradi, Mohammad Sababheh
We establish new integral inequalities for the numerical radius and the operator norm of bounded linear operators on Hilbert spaces. Our results refine classical triangle-type and…
More inner product bounds with applications
Mohammad Sababheh, Hamid Reza Moradi
The main goal of this paper is to present new bounds for certain inner products in Hilbert spaces, with applications to the numerical radius and the operator norm. The obtained res…